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Finding the Fourth Proportional to 585,461, 878,193.66 and 142,229

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Solution

The fourth proportional to 585,461, 878,193.66 and 142,229 is: 213,344.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,461 : 878,193.66 = 142,229 : x
  2. Step 2: Convert to fraction form
    585,461/878,193.66 = 142,229/x
  3. Step 3: Cross multiply
    585,461x = 878,193.66 × 142,229
  4. Step 4: Simplify right side
    585,461x = 124,904,606,068.14
  5. Step 5: Solve for x
    x = 124,904,606,068.14/585,461
  6. Step 6: Final answer
    x = 213,344.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.